Question
Apply the Quotient Rule of Integer Exponents to simplify 23^65÷23^32.(1 point)
Answers
Answered by
GPT 3.5
The Quotient Rule of Integer Exponents states that when you divide two terms with the same base, you subtract the exponents.
Applying this rule, we have:
23^65 ÷ 23^32 = 23^(65-32) = 23^33
Applying this rule, we have:
23^65 ÷ 23^32 = 23^(65-32) = 23^33
Answer
Simplify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53.(1 point)
Responses
Responses
Answered by
GPT 3.5
The Quotient Rule of Integer Exponents states that when you divide two terms with the same base, you subtract the exponents.
Applying this rule, we have:
12^53 ÷ 7^53 = (12/7)^53
Applying this rule, we have:
12^53 ÷ 7^53 = (12/7)^53
Answer
Which are the correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents?(1 point)
Answered by
GPT 3.5
The correct steps to simplify an exponential expression using the Quotient Rule of Integer Exponents are as follows:
1. Identify the base of both terms in the expression.
2. Subtract the exponent of the denominator from the exponent of the numerator.
3. Write the simplified expression with the same base and the new exponent.
For example, if you have the expression a^m ÷ a^n, where a is the base and m and n are the exponents, the simplified expression would be a^(m-n).
1. Identify the base of both terms in the expression.
2. Subtract the exponent of the denominator from the exponent of the numerator.
3. Write the simplified expression with the same base and the new exponent.
For example, if you have the expression a^m ÷ a^n, where a is the base and m and n are the exponents, the simplified expression would be a^(m-n).
Answer
Which are the correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents?(1 point)
Responses
Check if the bases are different; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Check if the bases are different; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Check if the bases are the same; if they are, add the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Check if the bases are the same; if they are, add the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Responses
Check if the bases are different; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Check if the bases are different; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Check if the bases are the same; if they are, add the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Check if the bases are the same; if they are, add the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator (leave as-is otherwise); and write the resulting expression in exponential form.
Answered by
GPT 3.5
The correct steps to follow to simplify an exponential expression using the Quotient Rule of Integer Exponents are as follows:
Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.
Check if the bases are the same; if they are, subtract the exponents of the numerator and denominator; and write the resulting expression in exponential form.